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hichkok12 [17]
3 years ago
14

Find mzP A 50 B. 60 C. 70 D. 120

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

d.120

Step-by-step explanation:

p=70

m=120

z=120

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Find the percent of increase from 1.5 inches to 6 inches.
jeyben [28]
Since 6/1.5 is 4. It increased 400%.
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3 years ago
Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).
vivado [14]

The equation of the line is y=\frac{1}{4}x-\frac{29}{7}

Explanation:

The equation of the line is perpendicular to y=-14 x-8

The equation is of the form y=mx+b where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

m_1 \cdot m_2=-1

-14 \cdot m_2=-1

       m_2=\frac{1}{14}

Thus, the slope of the line is m=\frac{1}{14}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the slope m=\frac{1}{14} and the point (2,-4), we get,

y+4=\frac{1}{14}(x-2)

Simplifying, we get,

y+4=\frac{1}{14}x-\frac{1}{7}

     y=\frac{1}{14}x-\frac{1}{7}-4

     y=\frac{1}{4}x-\frac{29}{7}

Thus, the equation of the line is y=\frac{1}{4}x-\frac{29}{7}

3 0
3 years ago
Among the eighth-graders in Michael's school, 70% have siblings. The eighth-grade class is 5/6 the size of the seventh-grade cla
nikklg [1K]

Answer:

d. 192

Step-by-step explanation:

OK so if 70% of students in 8th grade have siblings and 112 8th graders have siblings, then:




0.7(total 8th graders) = 112


total 8th graders = 112/0.7


total 8th graders = 160




And since the number of 8th graders is 5/6 the size of the 7th grade class:


5/6(7th grade class) = 160


5(7th grade class) = 960


7th grade class = 192.




The correct answer is D) 192.


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3 years ago
Help with my math &lt;3
denpristay [2]
4. 1st option
5. 2nd option
8 0
3 years ago
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the
tamaranim1 [39]

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

∴

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

x L = 10L \times \dfrac{15}{35}

x = 4.28 L

x \simeq 4.3L

∴

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

8 0
3 years ago
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